SOLUTION: Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z} List the elements in the set (A U B)'

Algebra ->  Subset -> SOLUTION: Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z} List the elements in the set (A U B)'      Log On


   



Question 945845: Let U = {q, r, s, t, u, v, w, x, y, z}
A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z}
List the elements in the set (A U B)'

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First find set A U B

This is just the set of A and B combined and any duplicates are tossed

A U B = {q, s, u, w, y} U {q, s, y, z} = {q, s, u, w, y, z}

So A U B = {q, s, u, w, y, z}

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Now look at set U = {q, r, s, t, u, v, w, x, y, z}

Use a red pen or something to mark all of the letters that are in set U that are also in set A U B = {q, s, u, w, y, z}

U = {q, r, s, t, u, v, w, x, y, z}

They will scratched out and erased

{q, r, s, t, u, v, w, x, y, z}

Leaving this behind

{r, t, v, x}

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Therefore,

(A U B)' = {r, t, v, x}